ID: 1
PMath 10 - Mr. Duncan
Name___________________________________
Sine, Cosine, and Tangent Practice
Find the value of each trigonometric ratio. Express your answer as a fraction in lowest terms.
1) sin C
2) sin C
A
A
50
29
C
C
4) cos C
A
39
36
A
15
17
B
C
5) tan A
15
8
B
6) tan X
Z
C
37
A
B
40
B
20
3) cos C
C
30
21
12
45
35
B
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X
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27
36
Y
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Find the value of each trigonometric ratio to the nearest ten-thousandth.
7) sin 62°
8) sin 14°
9) cos 60°
10) cos 31°
11) tan 79°
12) tan 25°
Find the missing side. Round to the nearest tenth.
13)
14)
x
59°
x
15)
60°
17
17
16)
x
20
51°
27°
10
x
17)
x
18)
x
40°
53°
20
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12
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Find the measure of the indicated angle to the nearest degree.
19)
20)
44
26
?
?
39
33
21)
22)
24
20
?
?
23
36
23)
24)
10
33
?
?
13
16
Find each angle measure to the nearest degree.
25) sin X = 0.7547
26) sin A = 0.4540
27) cos Y = 0.5736
28) cos B = 0.5000
29) tan B = 0.6249
30) tan C = 0.1405
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Solve the following word problems. For each question, draw a diagram to help you.
31) An airplane is flying at an altitude of 6000 m over the ocean directly toward a coastline. At a certain
time, the angle of depression to the coastline from the airplane is 14°. How much farther (to the
nearest kilometer) does the airplane have to fly before it is directly above the coastline?
32) From a horizontal distance of 80.0 m, the angle of elevation to the top of a flagpole is 18°. Calculate
the height of the flagpole to the nearest tenth of a metre.
33) A 9.0 m ladder rests against the side of a wall. The bottom of the ladder is 1.5 m from the base of the
wall. Determine the measure of the angle between the ladder and the ground, to the nearest degree.
34) The angle of elevation of the sun is 68° when a tree casts a shadow 14.3 m long. How tall is the tree,
to the nearest tenth of a metre?
35) A wheelchair ramp is 4.2 m long. It rises 0.7 m. What is its angle of inclination to the nearest
degree?
36) A person flying a kite has released 176 m of string. The string makes an angle of 27° with the
ground. How high is the kite? How far away is the kite horizontally? Answer to the nearest metre.
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Answers to Sine, Cosine, and Tangent Practice (ID: 1)
21
29
8
4)
17
7) 0.8829
10) 0.8572
13) 14.6
16) 15.9
19) 62°
22) 30°
25) 49°
28) 60°
31) 24 km
34) 35.4 m
1)
3
5
12
5)
35
8) 0.2419
11) 5.1446
14) 14.7
17) 23.8
20) 52°
23) 17°
26) 27°
29) 32°
32) 26.0 m
35) 10°
12
13
4
6)
3
9) 0.5000
12) 0.4663
15) 17.8
18) 15.9
21) 48°
24) 39°
27) 55°
30) 8°
33) 80°
36) 80 m high, 157 m away
2)
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3)
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